Question

4 sin 3 0 ∘ ctg 4 5 ∘ − 8 sin 6 0 ∘ tg 3 0 ∘

Answer 1

Ответ: -2, см фото.

Объяснение:

Answer 2

To simplify the expression, let's break it down step by step:

1. Start with the expression:

   4 * sin(30°) * cot(45°) - 8 * sin(60°) * tan(30°)

2. Calculate the values of trigonometric functions:

   • sin(30°) = 1/2
   • cot(45°) = 1
   • sin(60°) = √3/2
   • tan(30°) = 1/√3

3. Substitute these values into the expression:

   4 * (1/2) * 1 - 8 * (√3/2) * (1/√3)

4. Simplify further:

   2 - 4 = -2

So, the simplified value of the expression is -2.